Mathcounts Geometry

What is the area of the triangle DJKL in the coordinate plane with vertices J(−3, 2), K(−1, −2) and L(5, 6)?

• 20 units²

• 22 units²

• 24 units²

• 26 units²

What are the coordinates of point X?

• (5,2)

• (2,3)

• (4,4)

• (6,6)

What is the circumference?

• 36

• 56.52

• 108

• 113.04

If this is a right triangle, find the measure of x to the nearest hundredth.

• 42°

• 41.98°

• 41.99°

• 45°

The Jones family wants to enclose their circular garden with a fence. To the nearest foot, what is the minimum length of fencing they need to buy?

• 56.25 ft

• 246 ft

• 365 ft

• 393 ft

What is the area of 􀀥ABC with vertices A(2, 3), B(17, 11) and C(17, 3) ?

• 60 units²

• 120 units²

• 30 units²

• 40 units²

In the xy-plane, lines a and b intersect at point (5, −2), and lines b and c intersect at point (−3, 3). What is the slope of line b? Express your answer as a common fraction.

Given the points A(−2, 1) and B(3, 4), what are the coordinates of point C in the fourth quadrant such that m<CAB = 90 degrees and AB = AC? Express your answer as an ordered pair.

• (1, -4)

• (-1, 4)

• (-1, -4)

• (4,1)

What is the slope of the line that intersects the x-axis at x = 91 and intersects the y-axis at y = 7? Express your answer as a common fraction.

• 13

• -13

What is the distance of the point (-3, -4) from x axis 

• 3

• 4

• 7

• 12